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12110122110 = 2355318014229
BaseRepresentation
bin10110100011101000…
…11100110001111110
31011020222022221111010
423101310130301332
5144300142401420
65321401540050
7606046224312
oct132164346176
934228287433
1012110122110
115154936a89
12241b7a4626
1311acc10638
1482c4c5b42
154ad2744e0
hex2d1d1cc7e

12110122110 has 64 divisors (see below), whose sum is σ = 29636124480. Its totient is φ = 3165926400.

The previous prime is 12110122049. The next prime is 12110122117. The reversal of 12110122110 is 1122101121.

It is a super-2 number, since 2×121101221102 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110122117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2861476 + ... + 2865704.

It is an arithmetic number, because the mean of its divisors is an integer number (463064445).

Almost surely, 212110122110 is an apocalyptic number.

12110122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12110122110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14818062240).

12110122110 is an abundant number, since it is smaller than the sum of its proper divisors (17526002370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12110122110 is a wasteful number, since it uses less digits than its factorization.

12110122110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12110122110 its reverse (1122101121), we get a palindrome (13232223231).

The spelling of 12110122110 in words is "twelve billion, one hundred ten million, one hundred twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1590 1801 3602 4229 5403 8458 9005 10806 12687 18010 21145 25374 27015 42290 54030 63435 95453 126870 190906 224137 286359 448274 477265 572718 672411 954530 1120685 1344822 1431795 2241370 2863590 3362055 6724110 7616429 15232858 22849287 38082145 45698574 76164290 114246435 228492870 403670737 807341474 1211012211 2018353685 2422024422 4036707370 6055061055 12110122110